Hamiltonian analysis and positivity of a new massive spin-2 model
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Data
2022-02-03
Autores
Dos Santos, Alessandro L. R.
Dalmazi, Denis [UNESP]
De Paula, Wayne
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Resumo
Recently a new model has been proposed to describe free massive spin-2 particles in D dimensions in terms of a non symmetric rank-2 tensor e μν and a mixed symmetry tensor B μ[αβ]. The model is invariant under linearized diffeomorphisms without Stueckelberg fields. It resembles a spin-2 version of the topologically massive spin-1 BF model (Cremmer-Scherk model). Here we apply the Dirac-Bergmann procedure in order to identify all Hamiltonian constraints and perform a complete counting of degrees of freedom. In D = 3 + 1 we find 5 degrees of freedom corresponding to helicities ±2, ±1, 0 as expected. The positivity of the reduced Hamiltonian is proved by using spin projection operators. We have also proposed a parent action that establishes the duality between the Fierz-Pauli and the new model. The equivalence between gauge invariant correlation functions of both theories is demonstrated.
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Cremmer Scherk model, Hamiltonian constraints, massive gravity, spin 2, topologically massive
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Classical and Quantum Gravity, v. 39, n. 3, 2022.